How To Find Horizontal Asymptotes Of A Function

Horizontal asymptote at y 0.

How to find horizontal asymptotes of a function. If the largest exponents of the numerator and denominator are equal equation of horizontal asymptote is y a b. If the quotient is constant then y this constant is the equation of a horizontal asymptote. Divide Nx by Dx.

I graphed it and I. A vertical asymptote is a vertical line on the graph. These are the dominant terms.

Because because approaches 0 as x increases. The method used to find the horizontal asymptote changes depending on how the degrees of the polynomials in the numerator and denominator of the function compare. Yfracx2-x-6x2-9 If you factor both the numerator and denominator in that function above you will change the function from standard form to factored.

Steps to Find Horizontal Asymptotes of a Rational Function. For example the horizontal asymptote of y 30e 6x 4 is. Compare the largest exponent of the numerator and denominator.

Viewed 6k times 1 begingroup I have this function beginalign f x x-1cdot lnleftfrac x-1xright endalign. The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. The three rules that horizontal asymptotes follow are based on the degree of the numerator n and the degree of the denominator m.

If n m the horizontal asymptote is y 0. A line that can be expressed by x a where a is some constant. In general we can find the horizontal asymptote of a function by determining the restricted output values of the function.